基于幂均算子的区间型多属性决策方法  

Method based on power average operator for interval multi-attribute decision-making

作　　者：万树平[1] 

机构地区：[1]江西财经大学信息管理学院,南昌330013

出　　处：《控制与决策》2009年第11期1673-1676,1687,共5页Control and Decision

基　　金：国家自然科学基金项目(10626029);江西省自然科学基金项目(0611082;2007GQS0074);江西省教育厅科技项目(GJJ08350)

摘　　要：针对决策矩阵元素为区间数的不确定多属性决策问题,提出一种新的决策方法.定义了区间数幂均算子和区间数的相似度,利用一致度矩阵获得每个属性与其他属性的相对一致度.通过区间数幂均算子集成得到方案的综合属性值,进而给出了方案的排序结果.该方法不需要求解属性的权重.应用实例表明了所提出方法的有效性和实用性.A new method is proposed for interval multi-attribute decision-making, in which the attribute values are in the form of interval numbers. The interval power average operator and similarity degree for two interval numbers are defined. The relative consensus degree of each attribute on other attributes is derived through the matrix of relative consensus degree. By using the interval power average operator, the overall attribute value is obtained, then the priorities are given. This method doesn＇t need to solve the weights of attributes. An illustrative example shows the effectiveness and practicability of the proposed method.

关 键 词：多属性决策 区间数 幂均算子 相对一致度 

分 类 号：C934[经济管理—管理学]